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Question

In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/h and time increased by 30 minutes. Find the original duration of the flight.

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Solution

Let the speed be x
Now, time taken at the normal speed is given by
2800x hr
As the speed is reduced by 100 km/h
Hence, time taken after the reduction in speed is given by
2800x-100 hr
A.T.Q
2800x-100=2800x+30602800x-100-2800x=122800x-2800x+280000xx-100=12
xx-100=560000x2-100x-560000=0x2-800x+700x-560000=0xx-800+700x-800=0x-800x+700=0x=800 km/h x-700
Thus, the original duration of the flight is given by
2800800=72=312 or 3 hours 30 minutes

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